(1+1/2)x(1-1/2x(1+1/3)x(1-1/3)x(1+1/4)x(1-1/4).(1+1/99)x(1-1/99)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 17:23:19
(1+1/2)x(1-1/2x(1+1/3)x(1-1/3)x(1+1/4)x(1-1/4).(1+1/99)x(1-1/99)=?

(1+1/2)x(1-1/2x(1+1/3)x(1-1/3)x(1+1/4)x(1-1/4).(1+1/99)x(1-1/99)=?
(1+1/2)x(1-1/2x(1+1/3)x(1-1/3)x(1+1/4)x(1-1/4).(1+1/99)x(1-1/99)=?

(1+1/2)x(1-1/2x(1+1/3)x(1-1/3)x(1+1/4)x(1-1/4).(1+1/99)x(1-1/99)=?
=3/2*1/2*4/3*2/3*5/4*3/4*……*100/99*98/99
liuking123
=(3/2*4/3*5/4*……*100/99)*(1/2*2/3*3/4*……98/99)
liuking123
(3/2*4/3*5/4*……*100/99)每一项的分子与后面一项分母抵消!liuking123
(1/2*2/3*3/4*……98/99)每项分母与后面项分子抵消!
=100/2*1/99
liuking123
=50/99